Noetherian and Artinian Lattices
Copyright policy )Noetherian and Artinian Lattices
It is proved that ifLis a complete modular lattice which is compactly generated, then Rad(L)/0 is Artinian if, and only if for every small elementaofL, the sublatticea/0 is Artinian if, and only ifLsatisfies DCC on small elements.
Study of properties and structures of commutative rings, Lattice theory, Organic chemistry, Noetherian, Fuzzy Logic and Residuated Lattices, Semisimple module, QA1-939, FOS: Mathematics, Artinian lattice, Noncommutative ring, Model Theory and Topological Dynamics, Algebra over a field, Algebra and Number Theory, Modular lattices, Desarguesian lattices, Artinian, Pure mathematics, Ring (chemistry), Discrete mathematics, compactly generated lattice, Modular lattice, Chemistry, Noetherian lattice, Computational Theory and Mathematics, Artinian ring, Physical Sciences, Computer Science, O-Minimal Structures, Geometry and Topology, complete modular lattice, Mathematics
Study of properties and structures of commutative rings, Lattice theory, Organic chemistry, Noetherian, Fuzzy Logic and Residuated Lattices, Semisimple module, QA1-939, FOS: Mathematics, Artinian lattice, Noncommutative ring, Model Theory and Topological Dynamics, Algebra over a field, Algebra and Number Theory, Modular lattices, Desarguesian lattices, Artinian, Pure mathematics, Ring (chemistry), Discrete mathematics, compactly generated lattice, Modular lattice, Chemistry, Noetherian lattice, Computational Theory and Mathematics, Artinian ring, Physical Sciences, Computer Science, O-Minimal Structures, Geometry and Topology, complete modular lattice, Mathematics
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